What is the difference between the two approaches in truss analysis a method of joints and B method of sections?
The method of joints isolates a joint to find unknown forces. The method of sections is the same except an entire section is isolated. Because all cut members were part of a truss, all members supported an axial force of tension or compression.
How many reaction forces are involved in a roller type of joint?
Explanation: A statically determinate truss has only one set of solution set called unique solution. 7. How many reaction forces are involved in a slotted roller constrained in a cylinder type of joint? Explanation: Two forces act in these type of joints.
How many reaction forces are involved in short link type of joint?
How many reaction forces are involved in a short link type of joint? Explanation: One force is unknown which acts in line with the link. 11.
Which of the following assumption is wrong for truss analysis?
Any loads that act between joints are split into equivalent support end reactions and added to the joint loads. Self weight of the truss can be ignored or at least assumed to be equally distributed as loads at the joints. Even if the members are connected at the ends with gusset plates and welded, no fixity is assumed.
What are the assumption used in analysis of truss?
The analysis of trusses is usually based on the following simplifying assumptions: The centroidal axis of each member coincides with the line connecting the centers of the adjacent members and the members only carry axial force. All members are connected only at their ends by frictionless hinges in plane trusses.
What is the relation between work done and complementary work done?
9. What is the relation between work done and complementary work done? Explanation: They are equal only when Hooke’s law is applicable i.e. the material is linearly elastic.
What will be Δ if change in force is DP and DU is change in internal energy?
What will be Δ if change in force is DP and du is change in internal energy? Explanation: On equating internal energy after changing order of application of forces. Δ = displacement caused when force is increased by a small amount. This theorem is applicable when non-conservative forces are applied.
What is complementary energy?
Complementary energy is the expanse encompassed by the sloping formation, and the upright axis is called the complementary strain energy. The area under the stress-strain curve towards the point of deformation and the strain energy per unit volume is known as strain energy density.
How do you calculate bending stiffness?
Its stiffness is S = F/δ, where F is the total load and δ is the bending deflection. Figure 5.7 (c) A beam of square section, loaded in bending. Its stiffness is S = F/δ, where F is the load and δ is the bending deflection.
What is meant by stiffness matrix?
In the finite element method for the numerical solution of elliptic partial differential equations, the stiffness matrix represents the system of linear equations that must be solved in order to ascertain an approximate solution to the differential equation. …
What are the properties of stiffness matrix?
Properties of stiffness matrix
- Order of stiffness matrix corresponds to total dofs.
- Singular stiffness matrix means structure is unconstrained and rigid body motion.
- Each column of stiffness matrix is an equilibrium set of nodal force required to produce unit respective dof.
What is local and global stiffness matrix?
The assembly of local stiffness matrices into a global stiffness matrix is carried out by enforcing continuity conditions along the interfaces which, in effect, leads to reformulation of the problem in terms of interfacial displacements as the basic unknown variables.
What are the basic unknowns in stiffness matrix method?
What are the basic unknowns in stiffness matrix method? In the stiffness matrix method nodal displacements are treated as the basic unknowns for the solution of indeterminate structures.
What is flexibility matrix method?
In structural engineering, the flexibility method, also called the method of consistent deformations, is the traditional method for computing member forces and displacements in structural systems.
What is the other name of stiffness method?
Another name for the method is the force method because forces are the unknown quantities in equations of compatibility. Stiffness Method In the stiffness method, displacements (rather than forces) are taken as the unknown quantities. For this reason, the method is also called the displacement method.
What is the inverse of stiffness?
The inverse of stiffness is flexibility or compliance, typically measured in units of metres per newton. In rheology, it may be defined as the ratio of strain to stress, and so take the units of reciprocal stress, e.g. 1/Pa.
What is the equilibrium conditions used in the stiffness method?
What is the equilibrium condition used in the stiffness method? The external loads and the internal member forces must be in equilibrium at the nodal points.
Which is not a method for calculation of the stiffness matrix?
According to the theory of flexibility matrix, it is obtained by inverse stiffness matrix. However, because the flexibility matrix obtained by calculation is not a full rank matrix, the stiffness matrix can not be obtained by inversion.